ML20091D662

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17 Ton Cask Drop Analysis for Concrete Floor Above ANO-1 Control Room
ML20091D662
Person / Time
Site: Arkansas Nuclear Entergy icon.png
Issue date: 10/15/1991
From: Darrell Adams
ENTERGY OPERATIONS, INC.
To:
Shared Package
ML20091D658 List:
References
91-E-0094-01, 91-E-0094-01-R03, 91-E-94-1, 91-E-94-1-R3, NUDOCS 9110280157
Download: ML20091D662 (39)


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PURPOSE:

To evaluate and perform shipping cask drop analysis for the concrete floor area above the ANO-1 Control Room, with and/or without hexagonal honeycomb, using the following data:

- Shipping cask diameter = 712 mm = 28"

. nipping cask weight = 17 Ton, use 35 kips

- maximum drop = 9" DESIGN APPROACH:

Rev. 2, an wTopical Report BC-TOP-9A,ic Energy Formulas Using analysis Bechtel willaperformed ntilizing Kinet to determine the true Kinetic Energy the slab may absorb.

Steps-in this analysis are:

1) Establish four different loading cases taken for this analysis,_page 3 to Page 4 ct ,
2) Determine the combined moment of inertia for the structure, page gf to page G ,
3) Calculate the maximum moment Mu capacity cf the slab for all four (4) cases, page g Ato page sb .
4) Calculate'the ultimate load (Pu) based on Mu for each of the four cases, page ? to page 6 ,
5) Calculate the deflection Su) based on Pu for each of the four cases, page 7 to page f ,
6) Calculate the ultimate shear capacity of the slab, Vmax. based on concrete / reinforcement strength, page 64 to page 6fA .

"1 ) Calculate _the maximumePs to cause Vmax. for each of the four (4) cases, page rs to pageyA

8) Calculate the deflection due Ps and compare deflections due to Pu and deau weight of slab, with for each of the four (4) cases. page le acto page @ O( .
3) Check bond stress at the face of concrete wall, page 4 b to page (b ,
10) Plot the deflection VR load curve to calculate the kinetic energy for each of the four (4) cases, page to page /0 C,
11) Cal ulation of maximum drop height of cask that the slab can take based on equivalency of strain energy to kinetic energy, page // to page ragt.

CALCULATION NUMBER dEhenMt o ons ARKANSAS

.4f)-6 -$G'ff/ - 0) i 3 /8df/I) N [lN NUCLEAR PAGE REY. DATE BY CIIK'D ONE  ; NUMBER 2 or.lI__

DESIGN APPROACH: (cont.)

12). Calculation of the required energy absorption material required for l9" cask drop, page / g to page /3,

13) Calculation of the safety factors using the max, tion allowed height material drop for all without four any cases, energy page/4 to absorp/(,,

page

14) Calculation of the safety factors using 3" energy absorption material with 9" cask drop, page / 7 to page/8, REFT.RENCES:

1)' ACI 318-77

2) ACI 318-63 -
3) Topical Report BC-TOP-9A Rev. 2
4) Civil Calculation No. 88 Book 26, Pg. J23-J26 &

gA J70-J78

5) Civil Calculation No. 11406-130
6) Reinforced Concrete Design by Wang & Salmon, Third Ed
7) Drawing No. C-206' Rev. 16 s
8) Drawing No. C-212 Rev. 9
9) AISC Eighth Edition
10) Design _of Concrete Structures by Winter & Nilson
11) Calculation NO. 83-D-2200-11 Pg. 124 of 555
12) Specification 6600-C-302 1

I CALCULATION NUMBER

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NOTES AND ASSUMPTIONS

1) = 4850 psi 0 28 days (Pour No. 517)) (Ref. no. 11) f' f'c 517 (Ref. no. 11)-

f'c = 6230 psi 0 90 days (Pour No.c = 6230 X 1.1 = 6850 psi 0.4 ye ,

=

-Use F =f'28300 psi per mil. test report 6500 psi no.

(Ref. 0 4 5) years (Conservative y

2) This calculation Column Lines B,is toC,qualify the slabs betweenand the north face of the cask Pit which is located 3 feet north of Column Line D, and Column Lines 4 and 5. The span length between B and C is 27 feet. The span between C and the north face of  !

the Cask Pit is 24 feet. Four cases were considered )

in this calculation:

Case # 1 : Span length = 24 feet and the cask drop-l location is at a distance equal to the effected depth i of the slabSpan from length the face of the wall.

= 27 feet and the cask drop I

l Case f 2 : i location is at a distance equal to the effected depth )

of the slab from the face of the wall.

Case # 3 : Span length = 24 i ,t and the cask drop location is at Mid Span.

case # 4 : Span length = 27 feet and the cask drop-location is at Hid Span.

l These four (4) loading cases will provide worst l condition stress in the slab for each load drop.

4 i

Y L

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I CASE # 1 & 2 l'-2" (Ref. Pg. 2)

X = h ( DIA. OF CASK) = \ (28") = 1.4" =

g-t = Slab Thickness = 3'-6" = 42" (Ref, #7& 8)

/

d = Effective Depth = t - 4" = 42" - 4" = 38" (Ref. #7 & 8)

Reinforcing Rebars:

This slab has Top and Bottom reinforcing rebars. To be conservative, -

ignore the Top rebars. Bottom rebars are 3 # 11 per foot.

(Ref. #7 & 8)

  1. 5 s',irrups 0 3 8 -10" in E-W (Ref. #7 & 8)
  1. 5 y,tirrups 0 2'-0" in N-S (Ref. #7 & 8) -

For this case, the critical location for moment and shear is 9 a distance d from the face of the wall and the load is located at a distance (d') from the center of the wall d' = X+d+\ wall thickness d'= 1'-2" + 3'-2" + 1'-6" = 5'-10" Used distance d' = 6'-0" from the center of the wall.

L = 24' for Case # 1 L = 27' for Case i 2 CALCULATION NUMBER

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CASE # 3 4 4 -

X = \ ( DIA. OF CASK) = (28") = 14" = 1'-2" (Ref. Pg. 2) l

= 42" (Ref. #7 & 8) t = Slab Thickness = 3'-6" -

-d - Effective Depth = t - 4"'= 42" - 4" = 38" (Ref. #7 & 8)

Reinforcing Rebars:

This slab has Top and Bottom reinforcing rebars. To be conservative, ignore the Top rebars. Bottom robars are 3 # 11 per foot.

(Ref. # 7 & 8)

  1. 5 stirrups 0 3'-10" in E-W (Ref. .# 7 & 8)
  1. 5 stirrups 0 l'-0" in N-S (Ref. #7 & 8)

For this case, the critical location for moment is O mid span and the critical location for shear is 0 a distance d from the face of the wall qr at a dis.tance (d') from the center of the wall.

'd' = a + \ wall thickness d'= 3'-2" + 1'-6" = 4'-8" (I:e f . # 1, Sec. 11.1.3.1)

L = 24' for Case # $

L = 27 ' for Case # $

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l

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mv CAlcuL 7/ovs ( C6M[] .

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-g' MfAX , 51-18 >4A C AfAc!7l/'

Cd)1&,A 6 TG )

+) CM9AA Ch9& IGD 2)/

VC : b b A' 9 W / 5. + 9-G~0 0 h h ) b Y ef ; 4 v' k re OA M

I ( Ae41I , s ecNo >>) p"fj.c 9 = . 2 r f o r- 5 >& EA R (xef al S e c. I I )

Vc = 83 ()> 4 V6s0070+ ? Zoo A , ris243 ) Co&2y)

Vc. = (909760lb d '2: 1.'S'i ysgarzb Do Y  ? b d = Ulf,'WLb .

"ast's i biis, ni U

($ch * ), Y, J/-4 j

?s VL = (oGD s 2 6 ]d)/1 L

.h} $h'EAA CA$$)GD 6)/ Wfe A B t'tf~cAC CWL%!7

( t h5 .5TiA$ ud) @ .7'-)q >n & w = W (A6 p'7 j'. f in it' A z i 2:' (prpn!rl; A v : o. 2) i, (cs-uldu c-e leg ')

L ya (ya g , s , c, ,o, 7 )

l .

. Vc' = @vb}A ri Jr

~

Vc' : ; 5 } )c -3Y?M9'30 Q ipt,i'x3g : 8lI II $ " : q),)}i.

4 6' x 11+

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3 /#//#/ 9/ 70 3 NUCLEAR PAGE REV. DATE BY CIIK'D ONE NUMBER _f A OF /Y

z. .. s.

rot A tt q cAs G 5 MA x - SH&AA witL Occua. G a.

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P' C A f f # / d, 2.

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%4, = i.sken ce rs /, + sxen oac ro ow (w.)

h gjtx :.l$ h)* [ [ X ll1 - ( Ch f6 $6L) sf/ SAL D ue 10 if : h x 2.

              ~

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Ch.s6i,g/ , L =.19', a =ie' ( di f /,f 6 = $2 $12' l 4, + f (2 Q (4,i4K k/p,) - 4 7' 4'Seb5 V/f\ 1

                 ==>

i Ps = 87ta ri/s

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CALCULATION NUMBER _ ARKANSAS 6))-6 -0094-O) 3 >#//#/ O 70 N NUCLEAR PAGE REY. DATE BY CIIK'D ONE NUMBER _f_3 OF

        ~

Ck S G # 1-l =. 2 *7 ' , 6A : $ l' U S ING 8 9,@ o x) pq , gb I? Mot x 4 (1

                                                 /7x'2 ~1 ' x 9, 54 ts' t/m) 4,1 x 4 54 4 s' r/m .. & 9I 6 W = 8 2 8. I                  kips                                                                          l
            'CifSG # 3 & 4                                                                          h 44/VJ           %  J kt k P'"'            i p                         D l-                           l C A llu lM rs 7W C - rA/t=H L 8 d' WVfAJ TN6 LpAfb (S rtup S/A.e.i
              $ du e. Oo                  Ys   =     fs               _.~                 (b g s. 9 , u%. z . v y 0l$ ve 1*o                D u.'   =

t.J. Q Y ) - - (f.gyr N , s. n c.) b 4 Lo,( d ') = V~ < x  : 6 q J f6 k t/ 1 5 &

            .CALP K '3
                            ' + 9 s S4 6
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b ht
                              ~

l '3 1 9 > '2- k J/'s j h c\ v t to u trswif juonee

                                                                                   = 5' 3 1 5 Mih             (t%. -, e )

fG,

               ?lO # Y                     ,   IA s i ns k2- + 9se/sr M/pr ( y L o.,') : 6 41,s6 k)F
s h = / 3 i S. 5 k//s"L > Padue to a t r >~ o e< 7 - 7.25. o W (se,.9,)

19b enio,3y CALCULATION NUMBER operatons CJj-E -oo 94 - o > ARKANSAS 2 ; /#// #/O N \$M NUCLEAR PAGE NUMBER 4 OF IO REY.l DATE BY l CIIK'D ONE ,

~. . . s CAlcul/16 del ~tGC7/ CM /r/ A l l- 4 cafes d'AJ f M ) L : n r- 7. > Loxo @ ditf.d'(seef(i 'O Fog P,: yaq,g,"=0 h =-lCC (h9 to 2a) ,,

                                     .: t7s.t" .=e n - t w 2 u. isc = , i z il' p}                                                                           .
                                                                 />29 6                         ye9 te> th)

A // l{= [4*(l' => b = O//, > Oe9 fr. 74) a C A S G ,# % L. = s q pr > LOAb @ SH Y O /G' N

                      ); p r       k .: /O 80,5.'.m b = -)f?2" (ILig fc, 76 )

p' .- Ess>I" ~ b = 7060'iP x, isz =MI' y (R e1 P4, ;q) P,L

                                             &b38       .m__  b         n t 

(Aef8%,7)_,)

           \C)416 9 3
l. = t.) F1, L OM D (5 M >D SP/rv OW /4 4d FQA Q= 233 --@

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                                                             $ ento,gy              CALCULATION NUMBER operatmos ARKANSAS
9) -E- 0094 - o (

3 M/#/9/ Th N NUCLEAR PAGE 4+T REV. DATE BY CIIK'D ONE NUMBER OF / N__.

    =

l CA LculA- T> Or' { COM' A) c.HS C K d O,vD S TAES S & pACG 0F ColVN h We< :- Q 9.S VfE Q ggOPS3 WM cls h Td db V: 69M G + ow . Q,qegg(, lee. 6,3, t d: d i .s / , d j'rva The yJxtc (4.G.2 ( Trag 4, 9. L.

                                        /Y : .OO O f* E A A S .3             ( g e 4 ; A :) :. x s
                                                                                                        .:.c, w w' A=

w~ dy: DiA 05 AAA h=  ; y_ 3 ( A' e f- * & \ K =* ^ ' ' } = "' M

                                                                 =                  --
                                                   /+ (fy fpg         /+{4f>5kli,IG55k51 3 .- / _ 0>3 44f-      23~-z.*           ,

s a g. f g cy,(f 'g)p 4 4 54 65~ b'/W X 3 * *2 X /00 k (2 rr a /. u") >r f.es ' x ( trz " 3 f) ba. l = /g q , d P SI 9 k {  ? %~

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               % Mt:              0b Y (TT ('DA +'LT                            )

uJ ke r t R = u) eis L 1 Pev t4n l} VG ( usm e oFCoacreh..lcY4 T~ ' D >'c N n c.r t d5 ftGCA 86: 'If X L{ y 17~ ( 9 3 3 +  :

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      $       /8//#/9/           N                     >     NUCI. EAR       PAGE i

llEV. DATE BY CIIK'D ONE NUMilER / N OF /@

, . . -e.. I CAEG 2 3-x k + s

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            %ATA ' Q$ - &sco F'sI                     S 4 Yeewr py.- 9t,wo psz                     OmoLL                                                canr> f jenre)

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a s y u p_ - CAlculA 7/en ;(C Onf )

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y,, .- .

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c nic u tA nor) (co n + ,) CASG .# 4 L = 2 g ' i Draf locx 76i2 2 M io S>1A u Iv7.x/ x. /v)Giufsu7 / / lot M6D d2 MiD S/Av $ MM S H fnl @ Di1}a. nee. d S~y osu 1~Lt e %Le oC Th e co )+ LL - 83 '  : I/'l, [ P 6l,'3$) (bP- .v,M6)

                               > (tt -Me_)

k l ( $ U'53 = Yz ( ( &J,3 $,) (7 1 7 in&fL,zb) i t (~2 r% 3 r, Q 5 r 43 >Z 7( jo 1' L 2 3 e f_7 p _ / U syrg 9 ')?, t

                                               /474                          /474
                                                ,~
                            -3    , % 0. l - 1 3,8 7 p            6 / 7 0 0 : t:-

jo -- 33 8 7 + h f.23 51f.> '4 (,1s) (61800)

                                                    'L C.1 L. x, P - ST & > 9 K 19 s 4 A 7 3 >< [CsH                                                             E .# 1 \ (f4 m)

(14 Aw. i kew) e'. 5' kW /n dASE *I 0 C O>dra) Li JVi :N: US ' 9 X L T _- 3 75 9 4c F T 9 4

                         !VJ : 3 y s q g f y          (4jg7g,_c"(gjacgn))()(y,14a) l- /1/)D/v) 6){JJ~          gC)fJ&                 ,2't*            l                     / .5        CC7HbvJL' Sb ento,gy                 CALCULATION NUMBER Operattoris  '

ARKANSAS

                                                                                  %-6 -oD0/4-o/                                                 --

l 3 /8//d/4 / M 3 NUCLEAR PAGE REV. DATE BY CHK'D ONE NUMBER _)1 _ or_].8 _

WQR^  ; 7

      .C,4 (Cu j a,N p n ( C d N S )
   .' S i vice cMtf al is Govie rn i r _g , c >-J F c k T)+ 6 di D re f v))'

k '3* T//>dk ,:/cy = no 1 s t fits ce)L .t , Fo < ' cese -# I o >< Ly, s /, K. E : fee A x,,ic. C re e so.n) Vs * : Mk l fy : A' 6 [- Axr 3 de i k : 93 - a e )<. C : - 2% KI '

                             ~

J/u ~i 3 310 0 (2)-f(q} ' 2 9 L N6: .1/5'00 0 k ir

               /               .31 500 0           =,243.6 f22 FC# :       --
                                            ._                          { 7 6c9 p si WD'[/>JX3 lP .- 0 60 x #D'vg : /(r oo 9s " = .' 60                     t \
           /v)AX,      SHEAP FOAc6              /1ND    SAFEn/ PA&70A1 LJSE $3 &            On     f/c's  tb                                       i hax = /j (d&c,I')+ h bY)(+'T4&T %r) M l'hTV6Tl(Nd wp= 152. tG N '

L kusu. co bind cir en eweiry .- ggi, cc, (pn sh) L

              'gstf57y FAc70R.           =        A VI U        ,,f) r T5s'TT.        -====
                                                      $ ent,        CALCULATION NUMBER Oper oris
        '3      tom /4I        Th            usi      ARKANSAS Q)- E -00 44-0 )

O $/8/91  % M'eMM NUCI.. EAR PAGE l REY. DATE BY CHK'D ONE NUMBER /7 OF /I

s

     .sa.                                                                     _

4 cA lculeds' o 8 (_co n-) .)

             -  max. M aias er AN D                     SAFs7y           f r1 c r o n .'

t% 2 D$09 p+. Mc5 89. ' mm t&&.:!.x)9x) q y e , & g n, c' > ,)395e'(1f f)

                                       *4 s-M ga:           //05,96 N Attc>w.                     64Pa cely          =   51.4 3. G W '          (F'a 9 d ne>~enl x'

F14 c 7 0il = 1 u s.i - 3,,p  ; s A FET tl an,s . 9 e '~~ (C) 8 OiuD STREJ f , c1's p 7// 6 snr60 As on /9 eh (A=l gag ( hi . 9O

                                                             /                               /   /      Y/h
       '                                             /                       V/yf    /
                   \l :},l(16c. I5) Q v a 4 x s.66                 x.xa.r/
                                                                         . is - ), cx r. 44.>r 2.c x . ir v': /(s7613 A-                lb' 7 (/1               - : . } ,5, c7         f 11

! 2x rrx14 u g.gg ,. truse l

                ,4 L l o u.)     BDND     S TSGS f : 5"9.2.% / J.1                     (F G . Gibb L
                                                                 ~

i SbF6Ty Mc.rost : 1 C + .- ,y og 4:1,0

                         -                              $ en,               CALCULATION NUMBER Op tons 3     !///0)q )         7}$         \dR       AllKANSAS
                                                                          @ ) G00 0 ~ O )

i O '3)C)9) 70 Kf5h NUCEEAnt PAGE I REV.' DATE BY CilK'D ONE

                                                                      }}

NUMBER _8 OF /7

     . s3 l

CONCLUDION: Drop evaluation la pertormed in this calculation for all the four cases addrescud on page 3. Cano #1 in found to be the most critical caco for the 17 Ton cask drop.

                                             -                    Drop evaluat ion nummarica for the 17 Ton handling cack (28" diamotor) at olevation 404 (0/or the U-1 Control Room) are listed below:

CO!3DITION-A - A drop evaluation for 2.5" travel height with no hexagonal honeycomb. CONDITION-B - A drop ovaluation for 9" travel height with 3" of hexagonal honeycomb. CONDITIO!1-A CONDITION-B Shear Capacity 691.36 kips 691.86 kipa

                                              -                                                                                        =                 = 1.022                ;                         = 4.51 Shear Computed                                                                             677.0   kips                                    153.26 kips Moment Capacity                                                                           5328     kip-ft                                 5328    kip-ft               >
                                                                                                                                       =                         = 1.3             ;                          =  5.8 Moment Computed                                                                           4106.5 kip-ft                                    966.0 kip-ft Bond Stress Capacity                                                                     543.20 poi                                      543.20 pai
                                                                                                                                        =                  = 2.94                   ;                      = 12.06 Dond Streno Computed                                                                    184.7    psi                                     45.0   poi Development Length Provided (Ref. # 5)                                                                  =

33 in.

                                                                                                                                                               ,1.10                  ;

33 in.

                                                                                                                                                                                                           =   1.10 Development Length                                                                        30 in.                                          30 in.

Required (Ref. # 5)

                                                   - The maximum alli.wable travel for 17 Ton cask drop,                                                                                      2'-4" Dia., witu no hexagonal honeycomb = 2.5".
                                                    - The minimum thickness of a 260 poi hexagonal honeycomb required for the 17 Ton cask drop of 9 inchen travel = 3".
                                                     - Spalling is designed not to occur because the analysin of the above casos that the slab stays in clastic range.

i dBboperat ,nio, ions cal.CULATION NUMilER _ N 6)) . (-00 4 0 - 0 J ARKANSAS S ///a/9/ 72) KW NUCLEAR PAGE jq jy REY. DATE ltY CilK'D ONE NUMllER .or

            - - _ _ _ _ - _ _ _ _ _ __ _ _ _ _ - _ _ _ _ _ _ _                 _     _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ - _ _ _ _ _ _ _         _         _____             - __ _ _____               ___}}